Abstract:The relations between intuition, axiomatic method and formalism in Hilbert's foundational studies has been discussed several times, but geometrical ones still have unclear sides and there is not a commonly held opinion.In this article we try to frame Hilbert's geometrical works within a historical context. The aim is to show that intuition and nature of the axioms in Grundlagen der Geometrie do not derive from a mature philosophical awareness of the author, but from the development of a historical path of the … Show more
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